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Finding the Fourth Proportional to 962.11, 1,326.82 and 714.05

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Solution

The fourth proportional to 962.11, 1,326.82 and 714.05 is: 984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.11 : 1,326.82 = 714.05 : x
  2. Step 2: Convert to fraction form
    962.11/1,326.82 = 714.05/x
  3. Step 3: Cross multiply
    962.11x = 1,326.82 × 714.05
  4. Step 4: Simplify right side
    962.11x = 947,405.62
  5. Step 5: Solve for x
    x = 947,405.62/962.11
  6. Step 6: Final answer
    x = 984.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.